Analytical derivations for the behavior and fabric evolution of a linear orthotropic ice polycrystal
Analytical derivations for the behavior and fabric evolution of a linear orthotropic ice polycrystal
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DOI：
10.1029/1999jb900146
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发表时间：
1999-08
影响因子：
--
通讯作者：
O. Gagliardini;J. Meyssonnier
中科院分区：
文献类型：
--
作者：
O. Gagliardini;J. Meyssonnier
极地冰的结构表现出正交各向异性的对称性（即，三个正交的反射对称平面）由连续取向分布函数（ODF）描述，该连续取向分布函数表示c轴具有给定取向的晶粒的密度。对于一个给定的ODF，这样的各向异性冰的本构关系是通过一个均匀化过程的基础上的假设，冰单晶的行为作为一个线性的横观各向同性材料和晶粒经历一个均匀的应力状态。在考虑正交各向异性对称性的载荷条件下，冰的多晶宏观行为的演变以及其结构的演变完全由解析表达式确定。横观各向同性多晶体的解是从正交各向异性的情况推导出来的。在这个特殊的配置，从目前的模式的结果进行了比较，由Thorsteinsson等人。[1997]对GRIP冰芯的织物测量。
The fabric of polar ice exhibiting orthotropic symmetry (i.e., three orthogonal planes of reflexional symmetry) is described by a continuous orientation distribution function (ODF) which represents the density of grains whose c axes have a given orientation. For a given ODF, the constitutive law of such anisotropic ice is obtained by a homogenization procedure based on the assumptions that the ice single crystal behaves as a linear transversely isotropic material and that the grains experience a uniform state of stress. Under loading conditions which respect the symmetries of orthotropy, the evolution of the macroscopic behavior of a polycrystal of ice, as well as the evolution of its fabric, are fully determined by analytical expressions. The solution for a transversely isotropic polycrystal is deduced as a reduction from the orthotropic case. In this special configuration, the results from the present model are compared to fabric measurements made by Thorsteinsson et al. [1997] on the GRIP ice core.